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motikmotik
3 years ago
10

A 5000​-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performa

nce to generate a total revenue of ​$149 comma 600​?
Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

<u>3,600 from $26 tickets  and  1,400 from $40 tickets.  </u>

Step-by-step explanation:

Let x = number of $26 tickets and y= number of $40 tickets

x + y = 5000  ⇒ x = 5000 - y

26x + 40y = 149,600

26(5000 - y) + 40y = 149600

130,000 - 26y + 40y = 149600

14y = 19600

y = 19600/14 = 1,400

x = 5000 - 1400 = 3,600

So, <u>3,600</u> from $26 tickets  and  <u>1,400</u> from $40 tickets.

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